Classification of the type D perfect-fluid solutions of the Einstein equations

DOI10.1007/BF00759584zbMath0426.53028MaRDI QIDQ1136109

John Wainwright

Publication date: 1977

Published in: General Relativity and Gravitation (Search for Journal in Brave)

zbMATH Keywords

type D solutions of the Einstein field equations with perfect fluid source

Mathematics Subject Classification ID

Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Applications of local differential geometry to the sciences (53B50)

Related Items (14)

On an alignment condition of the Weyl tensor ⋮ A class of shear-free perfect fluids in general relativity. II ⋮ Stationary axisymmetric interior metric for a charged perfect fluid source ⋮ Petrov type D perfect-fluid solutions in generalized Kerr–Schild form ⋮ Stationary axisymmetric charged perfect fluid type D solutions ⋮ On the flow of perfect energy tensors ⋮ Type-D rigidly rotating perfect fluid solutions ⋮ Hauser–Malhiot spaces admitting a perfect fluid energy-momentum tensor ⋮ Stationary perfect fluid solutions with differential rotation ⋮ A GENERALIZATION OF THE WAHLQUIST SOLUTION ⋮ Shear-free perfect fluids with zero magnetic Weyl tensor ⋮ Generalization of the Szekeres results on perfect fluids with uΛkΛl=0 to uΛkΛl ≠ 0; Bianchi identities ⋮ Perfect-fluid space-times with type-D Weyl tensor ⋮ Characterization of locally rotationally symmetric space-times

Cites Work

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• On shear free normal flows of a perfect fluid
• Einige Lösungen der Einsteinschen Feldgleichungen mit idealer Flüssigkeit, die sich in einen fünfdimensionalen flachen Raum einbetten lassen
• A class of homogeneous cosmological models
• An Approach to Gravitational Radiation by a Method of Spin Coefficients
• A class of inhomogeneous perfect fluid cosmologies
• Inhomogeneous cosmologies: New exact solutions and their evolution
• New Homogeneous Solutions of Einstein's Field Equations with Incoherent Matter Obtained by a Spinor Technique
• Type D Vacuum Metrics

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